Preheat oven to 375 degrees.
Mix the spice rub ingredients in a small bowl. Season the chicken breasts with spices.
Heat the olive oil over medium heat in a cast iron skillet. Brown the chicken, allowing it to cook a few minutes on each side. Remove the chicken from the skillet and set aside.
Lower the heat (medium, low) on the skillet and add the white wine. Allow it to cook for one minute, then add the chicken broth and heavy whipping cream.
Simmer, then add the lime juice (fresh squeezed) and garlic.
Add the chicken back to the skillet with cilantro.
Cook over medium heat for 5 minutes.
Cover the skillet and transfer to the oven. Allow to cook for 45 minutes, or until the chicken appears tender.